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Finding the Fourth Proportional to 253,575.56, 349,945.21 and 140,398.31

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Solution

The fourth proportional to 253,575.56, 349,945.21 and 140,398.31 is: 193,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,575.56 : 349,945.21 = 140,398.31 : x
  2. Step 2: Convert to fraction form
    253,575.56/349,945.21 = 140,398.31/x
  3. Step 3: Cross multiply
    253,575.56x = 349,945.21 × 140,398.31
  4. Step 4: Simplify right side
    253,575.56x = 49,131,717,126.96
  5. Step 5: Solve for x
    x = 49,131,717,126.96/253,575.56
  6. Step 6: Final answer
    x = 193,755.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.